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A coin tossed thrice. Find:
a. The probability of getting exactly 3 heads.
b. The probability of getting exactly 2 tails.
c. The probability of getting atmost 1 head.
d. The probability of getting atleast 1 tail.
use newton raphson method :
sin ( x + π/2) - ln |x| =0
1. P23
2. P51
3. P63
4. P49
5. P88
6. P93
7. P90
8. P12
9. P75
10.P100
- Data from the school clinic shows that the average height of grade 11 students is 160 cm with a population standard deviation of 1.5. A sample of 50 students has an average height of 164 cm. Test the hypothesis that the average height is 160 cm.
a) formulate the null and alternative hypothesis
b) Determine what test statistic to use
c) Calculate the test statistic value
How can the use of technology (calculators, computers and the internet) and media enhance the learning of school mathematics?
ACTIVITY IN BASIC CALCULUS
QUOTIENT RULE
I. Find the derivative of the following functions below using the quotient rule. Show your complete solution.
- "\\frac{x^2-7x}{2x^3+5x^2}"
- "\\frac{3x^2+7x-14}{x^3-4x^2}"
- "\\frac{2x^3+8x^2}{x^2+6x^2-10}"
II. Create your own given problem involving quotient rule and solve. Show your complete solution. Do not copy the given example below.
1. Example must have two different terms in numerator, and three different terms in denominator
eg. (do not copy)
\ny="\\frac{8x^2-3x}{x^2+6x^2-10}"
2. Example must have three different terms in numerator, and three different terms in denominator
eg. (do not copy)
\ny="\\frac{x^2+8x^2-3x}{2x^3+6x^2-10}"
ACTIVITY IN BASIC CALCULUS
QUOTIENT RULE
I. Find the derivative of the following functions below using the quotient rule. Show your complete solution.
- "\\frac{x^2-7x}{2x^3+5x^2}"
- "\\frac{3x^2+7x-14}{x^3-4x^2}"
- "\\frac{2x^3+8x^2}{x^2+6x^2-10}"
II. Create your own given problem involving quotient rule and solve. Show your complete solution. Do not copy the given example below.
1. Example must have two different terms in numerator, and three different terms in denominator
eg. (do not copy)
y= "\\frac{8x^2-3x}{x^2+6x^2-10}"
2. Example must have three different terms in numerator, and three different terms in denominator
eg. (do not copy)
y= "\\frac{x^2+8x^2-3x}{2x^3+6x^2-10}"
ACTIVITY IN BASIC CALCULUS
QUOTIENT RULE
I. Find the derivative of the following functions below using the quotient rule. Show your complete solution.
- "\\frac{x^2-7x}{2x^3+5x^2}"
- "\\frac{3x^2+7x-14}{x^3-4x^2}"
- "\\frac{2x^3+8x^2}{x^2+6x^2-10}"
II. Create your own given problem involving quotient rule and solve. Show your complete solution. Do not copy the given example below.
1. Example must have two different terms in numerator, and three different terms in denominator
eg. (do not copy)
y= "\\frac{8x^2-3x}{x^2+6x^2-10}"
2. Example must have three different terms in numerator, and three different terms in denominator
eg. (do not copy)
y= "\\frac{x^2+8x^2-3x}{2x^3+6x^2-10}"
ACTIVITY IN BASIC CALCULUS
QUOTIENT RULE
I. Find the derivative of the following functions below using the quotient rule. Show your complete solution.
- "\\frac{x^2-7x}{2x^3+5x^2}"
- "\\frac{3x^2+7x-14}{x^3-4x^2}"
- "\\frac{2x^3+8x^2}{x^2+6x^2-10}"
II. Create your own given problem involving quotient rule and solve. Show your complete solution. Do not copy the given example below.
1. Example must have two different terms in numerator, and three different terms in denominator
eg. (do not copy)
y= "\\frac{8x^2-3x}{x^2+6x^2-10}"
2. Example must have three different terms in numerator, and three different terms in denominator
eg. (do not copy)
y= "\\frac{x^2+8x^2-3x}{2x^3+6x^2-10}"
A researcher wants to estimate the numbers of hours that 5 years old children spend watching television. A sample of 50 five-year old children was observed to have a mean viewing time of 5 hours. The population is normally distributed with a population standard deviation of 0.5 hours. Find the 95% confidence interval of the population mean.
